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Finding the Third Proportional to 89,358.75 and 138,938.63

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Solution

The third proportional to 89,358.75 and 138,938.63 is: 216,027.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,358.75 : 138,938.63 = 138,938.63 : x
  2. Step 2: Convert to fraction form
    89,358.75/138,938.63 = 138,938.63/x
  3. Step 3: Cross multiply
    89,358.75x = 138,938.63 × 138,938.63
  4. Step 4: Simplify right side
    89,358.75x = 19,303,941,516.89
  5. Step 5: Solve for x
    x = 19,303,941,516.89/89,358.75
  6. Step 6: Final answer
    x = 216,027.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.